# operator

1. ### manipulating differential operator

How does the top of part B become the bottom of part B?
2. ### Convergence in a normed vector space - Linear operator

Having X a normed vector space. If f is a linear operator from X to â„ and is not continuous in 0 (element of X) , how can we show that there exists a sequence xn that converges to 0 for which we have f(xn) = 1 (for all n element of â„•). Any help would be greatly appreciated, thank you.
3. ### Form of an operator

Please help with this problem. Let x be a vector in a three-dimensional space R^3 and c be a constant vector and let A be an operator acting on R^3 with values â€‹â€‹in R^3, then I'm looking for the form of the operator A such that A(x + c) = c + A^2(x) Thank you for your reply.
4. ### what this operator stands for ?

Hello, can't find this operator on wikipedia. It has < on top and under it is _ Thanks.

6. ### Functional analysis Linear bdd operator helppppppp

Let A:X \to l^\infty be a linear bounded operator from a normed space X to l^\infty . Show that there is a bounded sequence of bounded functionals \{f_n\}_{n=1}^{\infty} \subset X' such that Ax=(f_n(x))_{n=1}^{\infty}. Moreover, \|A\|=sup\|f_n\|

8. ### Inverse problem of covariance matrix â€“ diagonalization of Hermitian operator

(I had posted the question elsewhere but got no reply) I have understood the two things respectively: 1. Use a set of observations to construct a covariance matrix, and then compute the eigenvectors of the matrix. 2. The diagonalization the Hermitian operator $A=PGP^T$. The columns of $P$ are...
9. ### closed operator

can someone please help me to prove taht the following operator is closed: D(A) = W2,2(Rn) = H2(Rn) and Au = âˆ’âˆ†u, âˆ€u âˆˆ H2(Rn) thanks in advance
10. ### Using 2's complement to explain operator precedence

I'm refreshing my knowledge on binary math and specifically two's complements. Using this post I've successfully recalled how to use two's compliment to generate the binary representation of negative of a number e.g. -15 is 11110001 Now I'm required to explain how to use two's complement...
11. ### relationship operator

Hi there, I have come across a notation that I cannot break, I hope you might help me The notation is Pg:Pcr:Pm=1:S:1-s I know that they are that one term is directly proportional to other how would I write in other way, maybe more meaningful?
12. ### self- adjoint operator of R3

3 ) Find a self- adjoint operator of R3 that preserves the space generated by the vector ( 1,2,3).